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http://dx.doi.org/10.5391/JKIIS.2006.16.4.506

Sliding Mode Observer for Fuzzy System: An LMI Approach  

Song Min-Kook (연세대학교 전기전자공학과)
Joo Young-Hoon (군산대학교 전기정보공학부)
Park Jin-Bae (연세대학교 전기전자공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.16, no.4, 2006 , pp. 506-511 More about this Journal
Abstract
This paper considers a method to design sliding mode observers for a class of uncertain systems using Linear Matrix Inequalities(LMI). In an LMI-based sliding mode observer design method for a class of uncertain systems the switching surface is set to be the difference between the observer and system output. In terms of LMIs, a necessary and sufficient condition is derived for the existence of a sliding-mode observer guaranteeing a stable sliding motion on the switching surface. The gain matrices of the sliding-mode observer are characterized using the solution of the LMI existence condition. The results are illustrated by an example.
Keywords
Sliding mode observer; T-S fuzzy model; Non-linear system;
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